A Basis Theory Primer Expanded Edition /
The classical subject of bases in Banach spaces has taken on a new life in the modern development of applied harmonic analysis. This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and its use in both applied and classical harmonic analysis. T...
Call Number: | Libro Electrónico |
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Main Author: | |
Corporate Author: | |
Format: | Electronic eBook |
Language: | Inglés |
Published: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2011.
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Edition: | 1st ed. 2011. |
Series: | Applied and Numerical Harmonic Analysis,
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Subjects: | |
Online Access: | Texto Completo |
Table of Contents:
- ANHA Series Preface
- Preface
- General Notation
- Part I. A Primer on Functional Analysis
- Banach Spaces and Operator Theory
- Functional Analysis
- Part II. Bases and Frames
- Unconditional Convergence of Series in Banach and Hilbert Spaces
- Bases in Banach Spaces
- Biorthogonality, Minimality, and More About Bases
- Unconditional Bases in Banach Spaces
- Bessel Sequences and Bases in Hilbert Spaces
- Frames in Hilbert Spaces
- Part III. Bases and Frames in Applied Harmonic Analysis
- The Fourier Transform on the Real Line
- Sampling, Weighted Exponentials, and Translations
- Gabor Bases and Frames
- Wavelet Bases and Frames
- Part IV. Fourier Series
- Fourier Series
- Basic Properties of Fourier Series
- Part V. Appendices
- Lebesgue Measure and Integration
- Compact and Hilbert-Schmidt Operators
- Hints for Exercises
- Index of Symbols
- References
- Index.